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Discoveries of the scale-free and small-world features are reported on a network constructed from the seismic data. It is shown that the connectivity distribution decays as a power law, and the value of the degrees of separation, i.e., the…

Statistical Mechanics · Physics 2009-11-10 Sumiyoshi Abe , Norikazu Suzuki

Waiting-time statistics are generated from the Olami-Feder-Christensen model and shown to mimic some aspects of real seismicity. Preliminary analysis of the model data implies a recently proposed universal scaling law for the distribution…

Geophysics · Physics 2016-09-08 Morgan Hedges , George Takacs

We analyze 21 aftershock sequences of California to test for evidence of space-time diffusion. Aftershock diffusion may result from stress diffusion and is also predicted by any mechanism of stress weakening. Here, we test an alternative…

Geophysics · Physics 2015-06-26 Agnes Helmstetter , Guy Ouillon , Didier Sornette

Rank-ordering statistics provides a perspective on the rare, largest elements of a population, whereas the statistics of cumulative distributions are dominated by the more numerous small events. The exponent of a power law distribution can…

Condensed Matter · Physics 2015-06-25 Didier Sornette , Leon Knopoff , Yan Kagan , Christian Vanneste

We quantify the correlation between earthquakes and use the same to distinguish between relevant causally connected earthquakes. Our correlation metric is a variation on the one introduced by Baiesi and Paczuski (2004). A network of…

Geophysics · Physics 2010-03-25 T. R. Krishna Mohan P. G. , Revathi

Earthquake occurrence in nature is thought to result from correlated elastic stresses, leading to clustering in space and time. We show that occurrence of major earthquakes in California correlates with time intervals when fluctuations in…

Data Analysis, Statistics and Probability · Physics 2009-11-11 James R. Holliday , John B. Rundle , Donald L. Turcotte , William Klein , Kristy F. Tiampo

Volcanic seismicity at Mt. Etna is studied. It is found that the associated stochastic process exhibits a subdiffusive phenomenon. The jump probability distribution well obeys an exponential law, whereas the waiting-time distribution…

Geophysics · Physics 2015-06-17 Sumiyoshi Abe , Norikazu Suzuki

Scale invariance property in the global geometry of Earth may lead to a coupled interactive behaviour between various components of the climate system. One of the most interesting correlations exists between spatial statistics of the global…

Atmospheric and Oceanic Physics · Physics 2016-09-29 Bijan Fallah , Abbas Ali Saberi , Sahar Sodoudi

We have studied interoccurrence time distributions by analyzing the synthetic and three natural catalogs of the Japan Meteorological Agency (JMA), the Southern California Earthquake Data Center (SCEDC), and Taiwan Central Weather Bureau…

Geophysics · Physics 2008-08-21 Tomohiro Hasumi , Chien-chih Chen , Takuma Akimoto , Yoji Aizawa

By analyzing a southern California earthquake catalog, Davidsen and Paczuski [Phys. Rev. Lett. 94, 048501 (2005)] claim to have found evidence contradicting the theory of aftershock zone scaling in favor of scale-free statistics. We present…

Geophysics · Physics 2009-11-13 M. J. Werner , D. Sornette

In many important systems exhibiting crackling noise --- intermittent avalanche-like relaxation response with power-law and, thus, self-similar distributed event sizes --- the "laws" for the rate of activity after large events are not…

Statistical Mechanics · Physics 2016-08-31 Jörn Davidsen , Marco Baiesi

Discovery of a new scale-free law of earthquake phenomenon is reported. It is relevant to the structural and dynamical properties of the earthquake network proposed in a recent work [S. Abe and N. Suzuki, Europhys. Lett. 65, 581 (2004)].…

Other Condensed Matter · Physics 2007-05-23 Sumiyoshi Abe , Norikazu Suzuki

The concept of universality proposes that dynamical systems with the same power law behaviors are equivalent at large scales. We test this hypothesis on the Earth's crust and the epileptic brain, and discover that power laws also govern the…

Biological Physics · Physics 2007-12-27 Ivan Osorio , Mark G. Frei , Didier Sornette , John Milton , Ying-Cheng Lai

Statistical properties of earthquakes are studied both by the analysis of real earthquake catalog of Japan and by numerical computer simulations of the spring-block model in both one and two dimensions. Particular attention is paid to the…

Other Condensed Matter · Physics 2012-01-27 Hikaru Kawamura

Contrary to common belief, as the time since the last earthquake in a certain region increases, the risk of occurrence of another earthquake diminishes. As a consequence, the expected waiting time to the next event increases with the…

Condensed Matter · Physics 2009-11-10 Alvaro Corral

Discovery of a new law for three dimensional spatial distance between the foci of successive earthquakes is reported. Analyzing the seismic data taken between 1984 and 2001 in southern California, it is found that the cumulative…

Disordered Systems and Neural Networks · Physics 2015-06-24 Sumiyoshi Abe , Norikazu Suzuki

Earthquake phenomenology exhibits a number of power law distributions including the Gutenberg-Richter frequency-size statistics and the Omori law for aftershock decay rates. In search for a basic model that renders correct predictions on…

Disordered Systems and Neural Networks · Physics 2009-11-11 Amit P. Mehta , Karin A. Dahmen , Yehuda Ben-Zion

A globally driven self-organized critical model of earthquakes with conservative dynamics has been studied. An open but moving boundary condition has been used so that the origin (epicenter) of every avalanche (earthquake) is at the center…

Statistical Mechanics · Physics 2009-11-11 S. S. Manna , K. Bhattacharya

We explore in depth the validity of a recently proposed scaling law for earthquake interevent time distributions in the case of the Southern California, using the waveform cross-correlation catalog of Shearer et al. Two statistical tests…

Geophysics · Physics 2015-05-14 Alvaro Corral

One of the main interests in seismology is the formulation of models able to describe the clustering in time occurrence of earthquakes. Analysis of the Southern California Catalog shows magnitude clustering in correspondence to temporal…

Geophysics · Physics 2007-05-23 Eugenio Lippiello , Cataldo Godano , Lucilla de Arcangelis